How to find the integral that generates $X$ number in Maple 17?

Question

By a challenge of my calculus' professor, we have to find a integral that generates a $8$ digit number, such as $12345678$. Since there is an infinite number of integrals that could result in a $8$ digit number, is there a way to do it in Maple, in order to list some of the integrals that could do it?

Answer 1

To close this out: an example of an integral that produces the number $N$ is $$ \int_0^1 N ~ dx = \left. Nx \right|_0^1 = N\cdot1 - N \cdot 0 = N. $$

Answer 2

$11! = \int_0^\infty x^{11}e^{-x}\ dx$.

Anyway, since as you say there are infinitely many, come up with your own!

Answer 3

As mentioned in the comment by Rob Bland, you can use any known integral.

My integral of choice would be $$\int_0^{12345678} 1dx=12345678$$